Ames, an agent for Baker Antiques, had the authority to purchase early 20b century American fumiture costing a maximum of $ 1,500 per piece. Ames bought a lgth century French desk for $3,000 from Carter. Baker was furious when she saw the desk, and she fired Ames. Nevertheless, she put the desk on display in the shop with a $5,000 price tag. When the best offer she got for the desk was $2,500, Baker returned the desk to Carter. Baker told Carter that Ames had exceed his authority in purchasing the desk, and she demanded that Carter refund the $3,000 that Ames had paid for the desk. Will Carter have to do so? Please state your answer with supporting analysis.